The home states of a certain group of people are distributed as follows: 52 percent are from MISSOURI, 28 percent are from KANSAS, and 20 percent are from IOWA. (No one in the group had a home state other than one of these three.) (Note: Your answer to the question below should be rounded to three decimal places.) Suppose we randomly select a person from this group. What is the expected value of the number of letters in the selected person's home state

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joaobezerra joaobezerra · Answer 1 · 2021-03-27T02:00:45+01:00

Answer:

The expected value of the number of letters in the selected person's home state is 6.64.

Step-by-step explanation:

What is the expected value of the number of letters in the selected person's home state

52% have 8 letters(Missouri).

28% have 6 letters(Kansas)

20% have 4 letters(Iowa).

So

[tex]E = 0.52*8 + 0.28*6 + 0.2*4 = 6.64[/tex]

The expected value of the number of letters in the selected person's home state is 6.64.

shivishivangi1679 shivishivangi1679 · Answer 2 · 2022-03-25T07:39:35+01:00

The expected value of the number of letters in the selected person's home state will be 6.64.

52% are from MISSOURI of 8 letters.

28% are from KANSAS of 6 letters.

20% are from IOWA of 4 letters.

The expected value of the number of letters in the selected person's home state is required.

Let's consider the expected value E

So, 52% of 8 + 28% of 6 + 20% of 4 = E

[tex]\rm 0.52\times8+0.28\times6+0.2\times4=E\\\rm E= 4.16+1.68+0.8\\\rm E=6.64[/tex]

The expected value of the number of letters in the selected person's home state will be 6.64.

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